Let's consider a one-loop coil with small self inductance (or L << R) but still R is not that big so we still can have a good conductor. Now imagine this one-loop coil is placed on a table (x-y plane), facing a uniforme magnetic field (z axis), now let's say we increase this unifrome field linearly with time so what woulld happened is (What I think would happened) :

The increase of the magntic field B will induce a magnetic field b (in this case the fields are opposing each other) so : the increasing B => an increasing b => reducing the increase in B => a reduction in the increase of b => B increases. And we are back from we started.

Ofcourse the inductance is not zero and there is a delay between the two fields.
But if we neglect that delay can we say that this naive explanation means that the incident field won't be perturbed by the induced one.